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Öğe Certain Classes of Harmonic Multivalent Functions Based on Hadamard Product(Springeropen, 2009) Ahuja, Om P.; Guney, H. Ozlem; Sakar, F. MugeWe define and investigate two special subclasses of the class of complex-valued harmonic multivalent functions based on Hadamard product. Copyright (C) 2009 Om P. Ahuja et al.Öğe CERTAIN SUBCLASSES OF BI-UNIVALENT FUNCTIONS RELATED TO k-FIBONACCI NUMBERS(Ankara Univ, Fac Sci, 2019) Guney, H. Ozlem; Murugusundaramoorthy, G.; Sokol, J.In this paper, we introduce and investigate new subclasses of bi-univalent functions related to k-Fibonacci numbers. Furthermore, we find estimates of first two coefficients of functions in these classes. Also, we obtain the Fekete-Szego inequalities for these function classes.Öğe Convexity and Spirallikeness Conditions for Two New General Integral Operators(Hindawi Ltd, 2013) Guney, H. Ozlem; Bulut, SerapWe define two new general integral operators for certain analytic functions in the unit disc U and give some sufficient conditions for these integral operators on some subclasses of analytic functions.Öğe GENERALIZATIONS OF THE ALEXANDER INTEGRAL OPERATOR FOR ANALYTIC MULTIVALENT FUNCTIONS(Yarmouk Univ, Deanship Research & Graduate Studies, 2022) Guney, H. Ozlem; Owa, ShigeyoshiLet T-p,T-n be a subclass of analytic multivalent functions of the form f(z) = z(p) + alpha(p) +n(zp+n) + alpha(p) +n+1 z (p+n+1) +... for every z in the open unit disc U. Applying the fractional calculus (fractional integral and fractional derivative), A (lambda)(p,n) f (z) and A(p,n)(lambda) f(z) which are generalizations of the Alexander integral operator are introduced. The object of present paper is to discuss some interesting properties of A(p,n)(-lambda) f (z) and A(p,n)(-lambda)f (z). Also, some simple examples of results for A-(lambda)(p,n) f(z) and A(p,n)(lambda)f (z) are shown. To give some simple examples is very important for the research of mathematics.Öğe Integral means inequalities for fractional derivatives of a unified subclass of prestarlike functions with negative coefficients(Springeropen, 2007) Guney, H. Ozlem; Owa, ShigeyoshiIntegral means inequalities are obtained for the fractional derivatives of order p + lambda(0 <= p <= n, 0 <= lambda < 1) of functions belonging to a unified subclass of prestarlike functions. Relevant connections with various known integral means inequalities are also pointed out. Copyright (c) 2007.Öğe INTEGRAL PROPERTIES OF SOME FAMILIES OF MULTIVALENT FUNCTIONS WITH COMPLEX ORDER(Univ Babes-Bolyai, 2009) Guney, H. Ozlem; Breaz, DanielIn the present paper, we study integral properties of two families of p-valently analytic functions of complex order defined of the derivative operator of order m. The obtained results improve known results.Öğe New classes of certain analytic functions(Semnan Univ, 2022) Guney, H. Ozlem; Acu, Mugur; Owa, ShigeyoshiConsidering a function f(z) which is the extremal function for p-valently starlike of order a in the open unit disk, two new classes S-p*(m,alpha) and K-p(m, alpha) are introduced. The object of the present paper is to discuss some interesting problems of functions f (z) concerned with S-p* (m, alpha) and K-p (m, alpha).Öğe NEW CLASSES OF HARMONIC FUNCTIONS DEFINED BY FRACTIONAL OPERATOR(2018) Sakar, F. Müge; Guney, H. Ozlem; Bagcı, YaseminIn the present study, we introduce an investigation of new subclasses of har-monic functions which are defined by fractional operator. Firstly, using by fractional operator, we define new subclasses of harmonic functions. Later, we obtain main theo-rems of our study which contain su?cient and necessary coe?cient bounds for functions related to the classes newly defined. Also, several particular characterization proper-ties of these classes are given. Some of these properties involve extreme points, convex combination, distortion bounds. Finally, several corollaries of the main theorems are presented.Öğe New classes of pseudo-type bi-univalent functions(Springer-Verlag Italia Srl, 2020) Guney, H. Ozlem; Murugusundaramoorthy, G.In this paper, we introduce and investigate two new subclasses of pseudo-type bi-univalent functions which were defined by linear combinations of analytic functions in various well known classes and the quotient of the analytic representation of convexity and starlikeness of function, respectively. Also, we find estimates of first two coefficients of functions in these classes.Öğe New Families of Bi-univalent Functions Associated with the Bazilevic Functions and the ?-Pseudo-Starlike Functions(Springer Int Publ Ag, 2021) Srivastava, H. M.; Wanas, Abbas Kareem; Guney, H. OzlemIn this article, we define two new families T-Sigma(mu, gamma, lambda; alpha) and T-Sigma*(mu, gamma, lambda; beta) of normalized holomorphic and bi-univalent functions which involve the Bazilevic. functions and the lambda-pseudo-starlike functions. For functions in each of these families, we establish the bounds for vertical bar a(2)vertical bar and vertical bar a(3)vertical bar, where a(2) and a(3) are the initial Taylor-Maclaurin coefficients. We also point out several special cases and consequences of our results.Öğe A new subclass of analytic functions involving Al-Oboudi differential operator(Springer International Publishing Ag, 2008) Eker, Sevtap Sumer; Guney, H. OzlemThe main object of this paper is to introduce and investigate a new subclass of normalized analytic functions in the open unit disc U which is defined by Al-Oboudi differential operator. Coefficient inequalities, extreme points, and integral means inequalities for fractional derivative for this class are given. Copyright (C) 2008 S. Sumer Eker and H. Ozlem Guney.Öğe ON A NEW SUBCLASS OF HARMONIC MEROMORPHIC FUNCTIONS WITH FIXED RESIDUE ?(Turkic World Mathematical Soc, 2014) Sakar, F. Muge; Guney, H. OzlemWe use the differential operator D-lambda,delta,phi(n,mu) to introduce a new class SH lambda,delta,phi,mu (n,gamma,beta,xi)(w, k, alpha) of meromorphic harmonic functions with fixed residue xi in U-omega. Then we give the coefficient estimates, distortion theorem and extreme points of classes SH lambda,delta,phi,mu (n,gamma,beta,xi)(w, k, alpha) and SH lambda,delta,phi,mu (n,gamma,beta,xi)[w, k, alpha].Öğe On a subclass of certain k-starlike functions with negative coefficients(Springer Heidelberg, 2006) Guney, H. Ozlem; Eker, S. SumerThe aim of the present paper is to show some properties of functions belonging to the class (k, n, alpha) - ST. The obtained results extend the results by Silverman [3].Öğe On the univalence criterion of a general integral operator(Springer, 2008) Breaz, Daniel; Guney, H. OzlemIn this paper we considered an general integral operator and three classes of univalent functions for which the second order derivative is equal to zero. By imposing supplimentary conditions for these functions we proved some univalent conditions for the considered general operator. Also some interesting particullar results are presented. Copyright (c) 2008 D. Breaz and H. Ozlem Guney. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.Öğe Second Hankel determinant for universally prestarlike functions related with exponential function(Springer Heidelberg, 2021) Guney, H. Ozlem; Murugusundaramoorthy, G.; Vijaya, K.In Ruscheweyh and Salinas (Math Z 263:607-617, 2009) and Ruscheweyh et al. (Isreal J Math 171:285-304, 2009) the researchers introduced universally convex,universally starlike and universally prestarlike functions in the slit domain C\[1, infinity). These papers extended the corresponding notions from the unit disc to other discs and half-planes containing the origin. In this paper, we consider universally prestarlike generalized functions of order alpha with alpha <= 1 and we obtain upper bounds of the second Hankel determinant vertical bar a(2)a(4) - a(3)(2)vertical bar for such functions related with exponential function.Öğe SECOND HANKEL DETERMINANT PROBLEM FOR SEVERAL CLASSES OF ANALYTIC FUNCTIONS RELATED TO SHELL-LIKE CURVES CONNECTED WITH FIBONACCI NUMBERS(Turkic World Mathematical Soc, 2018) Sokol, Janusz; Ilhan, Sedat; Guney, H. OzlemIn this paper, we investigate upper bounds for the second Hankel determinant in several classes of analytic functions in the open unit disc, related to shell-like curves and connected with Fibonacci numbers.Öğe A SUBORDINATION RESULT INVOLVING RUSCHEWEYH DERIVATIVES AND HADAMARD PRODUCT OF CERTAIN CLASSES OF ANALYTIC FUNCTIONS(Springer-Verlag Italia Srl, 2007) Guney, H. Ozlem; Raina, R. K.In the present paper we obtain an interesting subordination relation for a generalized subclass of analytic functions by using both the Hadamard product and Ruscheweyh derivatives. Some corollaries are also deduced as special cases of our main result.Öğe A Subordination Result with Generalized Sakaguchi Univalent Functions Related to Complex Order(Belgian Mathematical Soc Triomphe, 2008) Guney, H. Ozlem; Owa, ShigeyoshiIn the present paper, we obtain an interesting subordination relation for a family of analytic functions of complex order by using subordination theorem.Öğe A Subordination Result with Salagean-Type Certain Analytic Functions of Complex Order(Belgian Mathematical Soc Triomphe, 2011) Guney, H. Ozlem; Attiya, A. A.In the present paper, we obtain an interesting subordination relation for Salagean-type certain analytic functions by using subordination theorem.Öğe SUBORDINATION RESULTS FOR CERTAIN SUBCLASSES BY USING INTEGRAL OPERATOR DEFINED IN THE SPACE OF ANALYTIC FUNCTIONS(Honam Mathematical Soc, 2018) Sakar, F. Muge; Guney, H. OzlemIn this study, firstly we introduce generalized differential and integral operator, also using integral operator two classes are presented. Furthermore, some subordination results involving the Hadamard product (Convolution) for these subclasses of analytic function are proved. A number of consequences of some of these subordination results are also discussed.